Quantum mechanics homework help 8

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This chapter gives a brief introduction to quantum mechanics. Quantum mechanics can be thought of roughly as the study of physics on very small length scales, although there are also certain macroscopic systems it directly applies to. The descriptor “quantum” arises because in contrast with classical mechanics, certain quantities take on only discrete values. However, some quantities still take on continuous values, as we’ll see. In quantum mechanics, particles have wavelike propertie...

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In this section we’ll give a “derivation” of the Schrodinger equation. Our starting point will be the classical nonrelativistic expression for the energy of a particle, which is the sum of the kinetic and potential energies. We’ll assume as usual that the potential is a function of only x. We have E = K + V = 1 2 mv2 + V (x) = p 2 2m + V (x). (3) We’ll now invoke de Broglie’s claim that all particles can be represented as waves with frequency ω and wavenumber k, and that...

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